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Finding the Third Proportional to 301,135 and 412,922

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Solution

The third proportional to 301,135 and 412,922 is: 566,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,135 : 412,922 = 412,922 : x
  2. Step 2: Convert to fraction form
    301,135/412,922 = 412,922/x
  3. Step 3: Cross multiply
    301,135x = 412,922 × 412,922
  4. Step 4: Simplify right side
    301,135x = 170,504,578,084
  5. Step 5: Solve for x
    x = 170,504,578,084/301,135
  6. Step 6: Final answer
    x = 566,206.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.